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Finding the Fourth Proportional to 9,616.61, 13,270.89 and 5,424.86

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Solution

The fourth proportional to 9,616.61, 13,270.89 and 5,424.86 is: 7,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.61 : 13,270.89 = 5,424.86 : x
  2. Step 2: Convert to fraction form
    9,616.61/13,270.89 = 5,424.86/x
  3. Step 3: Cross multiply
    9,616.61x = 13,270.89 × 5,424.86
  4. Step 4: Simplify right side
    9,616.61x = 71,992,653.97
  5. Step 5: Solve for x
    x = 71,992,653.97/9,616.61
  6. Step 6: Final answer
    x = 7,486.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.